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115213560 = 233571137337
BaseRepresentation
bin1101101111000…
…00010011111000
322000210110021220
412313200103320
5213443313220
615233232040
72566204410
oct667402370
9260713256
10115213560
115a042720
1232702620
131ab3c407
1411431640
15a1ac540
hex6de04f8

115213560 has 256 divisors, whose sum is σ = 443888640. Its totient is φ = 23224320.

The previous prime is 115213547. The next prime is 115213561. The reversal of 115213560 is 65312511.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 115213560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115213561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 341712 + ... + 342048.

It is an arithmetic number, because the mean of its divisors is an integer number (1733940).

Almost surely, 2115213560 is an apocalyptic number.

115213560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115213560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221944320).

115213560 is an abundant number, since it is smaller than the sum of its proper divisors (328675080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115213560 is a wasteful number, since it uses less digits than its factorization.

115213560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 115213560 is about 10733.7579626150. The cubic root of 115213560 is about 486.5952502531.

The spelling of 115213560 in words is "one hundred fifteen million, two hundred thirteen thousand, five hundred sixty".